A new approach to generating a non-planar shape-preserving interpolating curve is presented. The resulting curve is a piecewise rational cubic that is G 2 continuous. It is obtained through an optimisation process involving some "fairness criteria", in order to achieve a visually pleasing curve.
T. N. T., G., B. H., O., Sampoli, M.L. (1998). Automatic interpolation by fair, shape preserving G^2 space curves. COMPUTER AIDED DESIGN, 30(10), 813-822 [10.1016/S0010-4485(98)00039-6].
Automatic interpolation by fair, shape preserving G^2 space curves
SAMPOLI, MARIA LUCIA
1998-01-01
Abstract
A new approach to generating a non-planar shape-preserving interpolating curve is presented. The resulting curve is a piecewise rational cubic that is G 2 continuous. It is obtained through an optimisation process involving some "fairness criteria", in order to achieve a visually pleasing curve.
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https://hdl.handle.net/11365/18775
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